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213492462720 = 27351737176779
BaseRepresentation
bin1100011011010100100…
…1000111010010000000
3202102001122201210210220
43012311021013102000
511444213032301340
6242024352223040
721265353664005
oct3066511072200
9672048653726
10213492462720
11825a5a25139
123546223aa80
1317194737324
14a493ddd8ac
155847c50ed0
hex31b5247480

213492462720 has 256 divisors, whose sum is σ = 740015222400. Its totient is φ = 52133953536.

The previous prime is 213492462713. The next prime is 213492462731. The reversal of 213492462720 is 27264294312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119291 + ... + 1296069.

Almost surely, 2213492462720 is an apocalyptic number.

213492462720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213492462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370007611200).

213492462720 is an abundant number, since it is smaller than the sum of its proper divisors (526522759680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213492462720 is a wasteful number, since it uses less digits than its factorization.

213492462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176855 (or 176843 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 213492462720 in words is "two hundred thirteen billion, four hundred ninety-two million, four hundred sixty-two thousand, seven hundred twenty".